A state claims that there is a linear relationship between the number of tollbooths open at the same time and the revenue generated by tolls. The state collected data and used the data to test the claim that there is a linear relationship at a significance level of α=0.05. The state tested the following hypotheses. H0:β1=0Ha:β1≠0 The test yielded a p-value of 0.03. Which of the following is a correct conclusion about the state’s claim? The null hypothesis is rejected because 0.03<0.05. There is sufficient evidence to suggest that there is a linear relationship between revenue and the number of tollbooths. A The null hypothesis is not rejected because 0.03<0.05. There is sufficient evidence to suggest that there is a linear relationship between revenue and the number of tollbooths. B The null hypothesis is rejected because 0.03<0.05. There is not sufficient evidence to suggest that there is a linear relationship between revenue and the number of tollbooths. C The null hypothesis is not rejected because 0.03<0.05. There is not sufficient evidence to suggest that there is a linear relationship between revenue and the number of tollbooths. D The null hypothesis is accepted because 0.03<0.05. There is sufficient evidence to suggest that there is not a linear relationship between revenue and the number of tollbooths. E
A state claims that there is a linear relationship between the number of tollbooths open at the same time and the revenue generated by tolls. The state collected data and used the data to test the claim that there is a linear relationship at a significance level of α=0.05. The state tested the following hypotheses.
H0:β1=0Ha:β1≠0
The test yielded a p-value of 0.03. Which of the following is a correct conclusion about the state’s claim?
-
The null hypothesis is rejected because 0.03<0.05. There is sufficient evidence to suggest that there is a linear relationship between revenue and the number of tollbooths.
A -
The null hypothesis is not rejected because 0.03<0.05. There is sufficient evidence to suggest that there is a linear relationship between revenue and the number of tollbooths.
B -
The null hypothesis is rejected because 0.03<0.05. There is not sufficient evidence to suggest that there is a linear relationship between revenue and the number of tollbooths.
C -
The null hypothesis is not rejected because 0.03<0.05. There is not sufficient evidence to suggest that there is a linear relationship between revenue and the number of tollbooths.
D -
The null hypothesis is accepted because 0.03<0.05. There is sufficient evidence to suggest that there is not a linear relationship between revenue and the number of tollbooths.
E
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